What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer. t is not 11.012 13.044

1 answer

To solve for p in the equation 82.78(p+11.892)=72.8464, we can follow these steps:

1. Distribute 82.78 to both terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464

2. Simplify the expression inside the parentheses:
82.78p + 989.7156 = 72.8464

3. Move 989.7156 to the right side of the equation by subtracting it from both sides:
82.78p = 72.8464 - 989.7156
82.78p = -916.8692

4. Divide both sides of the equation by 82.78 to isolate p:
p = (-916.8692) / 82.78

Thus, the solution for p is: p = -11.056 (rounded to 3 decimal places)